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A versatile volume-based modeling technique of distributed local quadratic convergence for aeroengines 被引量:1
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作者 Yudong Liu Min Chen Hailong Tang 《Propulsion and Power Research》 SCIE 2024年第1期46-63,共18页
For advanced aero-engine design and research,modeling and simulation in a digital environment is indispensable,especially for engines of complicated configurations,such as var-iable cycle engines(VCE)and adaptive cycl... For advanced aero-engine design and research,modeling and simulation in a digital environment is indispensable,especially for engines of complicated configurations,such as var-iable cycle engines(VCE)and adaptive cycle engines(ACE).Also,in the research of future smart engines,reliable real-time digital twins are paramount.However,the 2 dominant methods that used in solving the simulation models,Newton-Raphson(N-R)method and volume-based method,are not fully qualified for the study requirements,because neither of them reaches the satisfactory balance of convergence rate and calculating efficiency.In this study,by deeply analyzing the mathematical principle of these 2 methods,a novel modeling and solving method for aero-engine simulation,which integrates the advantages of both N-R and volume-based methods,is established.It has distributed architecture and local quadratic convergence rate.And a novel modeling method for variable area bypass injectors(VABI)is put forward.These facilitate simulation of various configurations of aero-engines.The modeling cases,including a high bypass-ratio(BPR)turbofan and an ACE,illustrate that the novel technique decreases the iterations by about two-thirds comparing with volume-based method,while the success rate of convergence remains over 99%.This proves its superiority in both convergence and calculating efficiency over the conventional ones.This technique can be used in advanced gas turbine en-gine design and control strategy optimization,and study of digital twins. 展开更多
关键词 Aero-engine performance simulation Variable cycle engine Variable area bypass injector Digital twin newton-raphson method
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基于自校正Broyden拟牛顿法的航空发动机模型数值计算 被引量:7
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作者 王元 李秋红 黄向华 《航空动力学报》 EI CAS CSCD 北大核心 2016年第1期249-256,共8页
以Broyden拟牛顿法为基础结合计算发散判断和校正机制,提出自校正Broyden拟牛顿法.该算法结合牛顿法(Newton-Raphson method)平方收敛和Broyden拟牛顿法超线性收敛特性,通过自适应调整计算步长和校正函数,在非线性系统中具有更好的计算... 以Broyden拟牛顿法为基础结合计算发散判断和校正机制,提出自校正Broyden拟牛顿法.该算法结合牛顿法(Newton-Raphson method)平方收敛和Broyden拟牛顿法超线性收敛特性,通过自适应调整计算步长和校正函数,在非线性系统中具有更好的计算性能.以变循环发动机部件级模型为对象,应用自校正Broyden拟牛顿法进行稳态及动态仿真计算,并与牛顿法和Broyden拟牛顿法作对比.结果表明:自校正Broyden拟牛顿法对恶劣的初始计算条件适应性更高,计算速度更快且收敛能力性更强,动态计算中部件模型计算调用次数为牛顿法的15%,模型动态误差低于Broyden拟牛顿法的15%,同时也低于牛顿法的28%,动态计算最大残差量低于其他两种算法的25%.验证结果表明了自校正Broyden拟牛顿法的优越性. 展开更多
关键词 自校正 Broyden拟牛顿法 牛顿法 变循环发动机 部件级模型
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